They could alternately just create accounts, and continue to edit from work. Non-logged-in edits have IP addresses attached, but edits by logged-in users are pseudonymous; you wouldn't know if a user was editing from the Danish Parliament any more than you know whether I'm posting this HN comment right now from the Danish Parliament. The IPs are logged internally for a period of time, but those logs are available to only a small number of users (not even most administrators), who can only use them for a limited range of things: https://en.wikipedia.org/wiki/Wikipedia:Checkuser

Or maybe they'll just use Tor. And then they'll defend Tor in Congress because they have a use for it. I think I'd be fine with that outcome.

Bringing work home has not been a popular option in these spheres as far as I know, so the staff may become excluded. The officials themselves may be doing the edits if that's the case.

Even if that happens, there is still a lot of value in checking what kind of information manipulation happened historically.